T₁ + Lo R. V₁ = V sin cot m Vo Problems 547 FIGURE P10.1 10.2 A single-phase half-wave converter in Figure P10.1 is operated from a 120-V, 60-Hz sup- ply. If the load resistive load is R = 52 and the delay angle is a = π/3, determine (a) the efficiency, (b) the form factor, (c) the ripple factor, (d) the transformer utilization factor, and (e) the peak inverse voltage (PIV) of thyristor T₁. (10,3 A single-phase half-wave converter in Figure P10.1 is operated from a 120-V, 60-Hz supply and the load resistive load is R = 5 2. If the average output voltage is 25% of the maximum possible average output voltage, calculate (a) the delay angle, (b) the rms and average output currents, (c) the average and rms thyristor currents, and (d) the input power factor. 10.4 A single-phase half-wave converter in Figure P10.1 is supplied from a 120-V, 60-Hz supply and a freewheeling diode is connected across the load. The load consists of series- connected resistance R = 52, inductance L = 5 mH, and battery voltage E = 20 V. (a) Express the instantaneous output voltage in a Fourier series, and (b) determine the rms value of the lowest order output harmonic current. Assume a = TT 6 10.5 The single-phase semiconverter in Figure P10.5 is connected to a 120-V, 60-Hz supply. The load current I can be assumed continuous and its ripple content is negligible. The turns ratio of the transformer is unity. (a) Express the input current in a Fourier series; determine the harmonic factor of input current, the displacement factor, and the input power factor. (b) If the delay angle is a =π/2, calculate Vdc, Vrms, HF, DF, and PF. + io = la iTI ΔΙ a Load T₂ R in V o Vp L D₁ D2 Dm ip iD2 iDm E => FIGURE P10.5 = 10.6 The single-phase semiconverter in Figure P10.5 has an RL load of L = 6.5mH, R = 2.5N, 120V (rms) at 60 Hz. Determine (a) the load and E = 10V. The input voltage is Vs current IL at wt = 0 and the load current ILI at oot = α = 60°, (b) the average thyristor current IA, (c) the rms thyristor current IR, (d) the rms output current Irms, (e) the average the critical value of delay angle a, for the continuity of the load